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Bull Math Sci 2018 9;8(2):257-306. Epub 2017 Nov 9.

5Department of Mathematics, Penn State University, 109 McAllister Building, University Park, PA 16802 USA.

In this article we analyze the notions of amenability and paradoxical decomposition from an algebraic perspective. We consider this dichotomy for locally finite extended metric spaces and for general algebras over fields. In the context of algebras we also study the relation of amenability with proper infiniteness. Read More

Invent Math 2018 1;213(1):237-269. Epub 2018 Feb 1.

Mathematical Institute, University of Oxford, Oxford, OX2 6GG UK.

We prove that for every Bushnell-Kutzko type that satisfies a certain rigidity assumption, the equivalence of categories between the corresponding Bernstein component and the category of modules for the Hecke algebra of the type induces a bijection between irreducible unitary representations in the two categories. Moreover, we show that every irreducible smooth -representation contains a rigid type. This is a generalization of the unitarity criterion of Barbasch and Moy for representations with Iwahori fixed vectors. Read More

IEEE Trans Pattern Anal Mach Intell 2019 Apr 17. Epub 2019 Apr 17.

Facial expression analysis could be greatly improved by incorporating spatial and temporal patterns present in facial behavior, but the patterns have not yet been utilized to their full advantage. We remedy this via a novel dynamic model - an interval temporal restricted Boltzmann machine (IT-RBM) - that is able to capture both universal spatial patterns and complicated temporal patterns in facial behavior for facial expression analysis. We regard a facial expression as a multifarious activity composed of sequential or overlapping primitive facial events. Read More

J Theor Biol 2019 Apr 15;472:46-53. Epub 2019 Apr 15.

Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università di Roma Tor Vergata, Roma 00133, Italy. Electronic address:

Among the various phenomena that can be modeled by Boolean networks, i.e., discrete-time dynamical systems with binary state variables, gene regulatory interactions are especially well known. Read More

NMR Biomed 2019 Apr 15:e4098. Epub 2019 Apr 15.

Imagerie par Résonance Magnétique Médicale et Multi-Modalités (UMR8081), CNRS, Université Paris-Saclay, Orsay, France.

This study aimed to show evidence of MR cross-relaxation effects in cortical bone and to compare different MR sequences for the quantification of cross-relaxation parameters. Measurements were performed on bovine diaphysis samples with spectroscopic methods (inversion-recovery, off-resonance saturation) and with a variable flip angle (VFA) UTE imaging method on a 4.7 T laboratory-assembled scanner. Read More

J R Soc Interface 2019 Feb;16(151):20180661

2 Mathematical Institute, University of Oxford , Oxford OX2 6GG , UK.

We introduce a tensor-based clustering method to extract sparse, low-dimensional structure from high-dimensional, multi-indexed datasets. This framework is designed to enable detection of clusters of data in the presence of structural requirements which we encode as algebraic constraints in a linear program. Our clustering method is general and can be tailored to a variety of applications in science and industry. Read More

Soft comput 2019 22;23(7):2177-2186. Epub 2019 Feb 22.

6Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic.

This paper is a contribution to graded model theory, in the context of mathematical fuzzy logic. We study characterizations of classes of graded structures in terms of the syntactic form of their first-order axiomatization. We focus on classes given by universal and universal-existential sentences. Read More

Math Biosci 2019 Apr 1;312:1-7. Epub 2019 Apr 1.

Department of Mathematics and Statistics, Section of Applied Mathematics, Faculty of Science, Masaryk University, Kotlářská 2, Brno, 611 37, Czechia.

Many natural processes studied in population biology, systems biology, biochemistry, chemistry or physics are modeled by dynamical systems with polynomial or rational right-hand sides in state and parameter variables. The problem of finding bifurcation manifolds of such discrete or continuous dynamical systems leads to a problem of finding solutions to a system of non-linear algebraic equations. This approach often fails since it is not possible to express equilibria explicitly. Read More

Phys Rev Lett 2019 Mar;122(10):101602

George P. and Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.

In this Letter, we suggest a natural spinor-helicity formalism for massless fields in four-dimensional anti-de Sitter space (AdS_{4}). It is based on the standard realization of the AdS_{4} isometry algebra so(3,2) in terms of differential operators acting on sl(2,C) spinor variables. We start by deriving the anti-de Sitter counterpart of plane waves in flat space and then use them to evaluate simple scattering amplitudes. Read More

Sci Rep 2019 Mar 25;9(1):5059. Epub 2019 Mar 25.

Department of Preventive Medicine, Feinberg School of Medicine, Northwestern University, Chicago, IL, USA.

Efficient large-scale annotation of genomic intervals is essential for personal genome interpretation in the realm of precision medicine. There are 13 possible relations between two intervals according to Allen's interval algebra. Conventional interval trees are routinely used to identify the genomic intervals satisfying a coarse relation with a query interval, but cannot support efficient query for more refined relations such as all Allen's relations. Read More

ISA Trans 2019 Mar 20. Epub 2019 Mar 20.

School of Control Engineering, Chengdu University of Information Technology, Chengdu 610225, PR China.

A novel formation control law in the case of relative damping and nonuniform time-delays is proposed for fractional-order multi-agent systems(FOMASs) in this paper. The nonuniform time-delays can be generally divided into symmetric and asymmetric time-delays. Hence, the formation control algorithm for FOMASs in the case of symmetric time-delays and relative damping is first studied under an undirected network topology. Read More

PLoS Comput Biol 2019 Mar 25;15(3):e1006828. Epub 2019 Mar 25.

Department of Chemical and Biological Engineering, University of Wisconsin-Madison, Madison, Wisconsin, USA.

We present a nonlinear programming (NLP) framework for the scalable solution of parameter estimation problems that arise in dynamic modeling of biological systems. Such problems are computationally challenging because they often involve highly nonlinear and stiff differential equations as well as many experimental data sets and parameters. The proposed framework uses cutting-edge modeling and solution tools which are computationally efficient, robust, and easy-to-use. Read More

J Mass Spectrom 2019 Mar 18. Epub 2019 Mar 18.

Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, MD, United States.

Isobaric tagging reagents such as iTRAQ and TMT typically have isotopic impurities that cause significant crosstalk between channels. Here we present an efficient solution to compensate for channel crosstalk using linear algebra and find that it is between 20x and 120x faster than previous methods. We also find that the effects of channel crosstalk are as important to manage as the effects of ratio compression due to precursor impurities, and we have released an open-source tool to perform both types of calculations. Read More

J Stat Phys 2019 19;174(1):97-119. Epub 2018 Oct 19.

Technische Universiteit Delft, DIAM, PO Box 5031, 2600 GA Delft, The Netherlands.

We obtain stochastic duality functions for specific Markov processes using representation theory of Lie algebras. The duality functions come from the kernel of a unitary intertwiner between -representations, which provides (generalized) orthogonality relations for the duality functions. In particular, we consider representations of the Heisenberg algebra and . Read More

Dalton Trans 2019 Mar;48(13):4375-4386

Surface Engineering & Tribology Group, CSIR-Central Mechanical Engineering Research Institute, Mahatma Gandhi Avenue, Durgapur 713209, India.

Herein, a hydrazine-based chromogenic, fluorogenic and electrochemical chemosensor BCC [1,5-bis(4-cyanophenyl) carbonohydrazide] was premeditated and synthesized through a simple one-step synthetic procedure for the selective detection of toxic anions, such as F-, in a DMSO-ACN medium and cations, such as Hg2+ and Cu2+, in a MeOH-water medium. The detection limit for F- was reckoned to be 0.5 ppm, and for Hg2+ and Cu2+, it was 0. Read More

J Environ Manage 2019 May 8;238:341-351. Epub 2019 Mar 8.

Griffith Climate Change Response Program, Griffith University, QLD, Australia.

An integrated approach combining Bayesian Network with GIS was developed for making a probabilistic prediction of sea level rise induced coastal erosion and assessing the implications of adaptation measures. The Bayesian Network integrates extensive qualitative and quantitative information into a single probabilistic model while GIS explicitly deals with spatial data for inputting, storing, analysing and mapping. The integration of the Bayesian Network with GIS using a cell-by-cell comparison technique (aka map algebra) provides a new tool to perform the probabilistic spatial analysis. Read More

Sci Total Environ 2019 Jun 23;668:245-253. Epub 2019 Feb 23.

Institute of Ecology and Biodiversity, School of Life Science, Shandong University, Qingdao 266237, China; Environment Research Institute, Qingdao 266237, China. Electronic address:

The excessive consumption of fuels associated with rapid industrialization, urbanization, and modernization has caused serious smog events in many Chinese cities. Vehicle exhaust is one of the primary causes of smog events due to the rapid growth of motor vehicle ownership and increased fuel consumption. In this study, fault tree analysis (FTA) was used as a relatively simple but effective way to analyze the causes of smog associated with vehicle exhaust emissions in Jinan, China. Read More

Bull Math Biol 2019 Mar 7. Epub 2019 Mar 7.

Department of Mathematics, University of Manitoba, Winnipeg, MB, Canada.

We consider a simple metapopulation model with explicit movement of individuals between patches, in which each patch is either a source or a sink. We prove that similarly to the case of patch occupancy metapopulations with implicit movement, there exists a threshold number of source patches such that the population potentially becomes extinct below the threshold and established above the threshold. In the case where the matrix describing the movement of populations between spatial locations is irreducible, the result is global; further, assuming a complete mobility graph with equal movement rates, we use the principle of equitable partitions to obtain an explicit expression for the threshold. Read More

Sensors (Basel) 2019 Mar 2;19(5). Epub 2019 Mar 2.

College of Information & Communication Engineering, Harbin Engineering University, Harbin, 150001, China.

This paper studies an adaptive coding scheme for B5G (beyond 5th generation) mobile system-enhanced transmission technology. Different from the existing works, the authors develop a class of rate-compatible, non-binary, low-density parity check (RC-NB-LDPC) codes, which expresses the strong connection between the algebra-based and graph-theoretic-based constructions. The constructed codes can not only express rate-compatible (RC) features, but also possess a quasi-cyclic (QC) structure that facilitates the encoding implementation. Read More

Rev Sci Instrum 2019 Feb;90(2):021709

Synchrotron SOLEIL, L'Orme des Merisiers, Saint-Aubin, BP 48, 91192 Gif-sur-Yvette Cedex, France.

Conical diffraction geometry has interesting properties for monochromatization of short pulse sources of extreme-UV or soft X-ray radiation, like high harmonic generation in gases. It enables high diffraction efficiency at the cost of a reduced angular dispersion. Computation of grating efficiency is complex when the incidence plane is not perpendicular to the grating lines because S and P polarizations are coupled. Read More

Lasers Med Sci 2019 Mar 4. Epub 2019 Mar 4.

Department of Biophysics, School of Life Sciences, Manipal Academy of Higher Education, Manipal, Karnataka, 576104, India.

Polarization microscopy, a powerful optical tool to study anisotropic properties of biomolecules, provides better microstructural information of a sample as compared with conventional optical microscopic techniques. The measurement and analysis of polarization states of light can be performed using both Jones matrix as well as Stokes algebra. Further, the details of optical properties of specimen are characterized by Mueller matrix. Read More

J Pseudodiffer Oper Appl 2019 23;10(1):133-154. Epub 2017 Nov 23.

Wolfgang Pauli Institute, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.

We present a construction of algebras of generalized functions of Colombeau-type which, instead of asymptotic estimates with respect to a regularization parameter, employs only topological estimates on certain spaces of kernels for its definition. Read More

Phys Rev Lett 2019 Feb;122(6):061106

The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.

We derive an action whose equations of motion contain the Poisson equation of Newtonian gravity. The construction requires a new notion of Newton-Cartan geometry based on an underlying symmetry algebra that differs from the usual Bargmann algebra. This geometry naturally arises in a covariant 1/c expansion of general relativity, with c being the speed of light. Read More

Phys Rev Lett 2019 Feb;122(5):053401

Department of Physics, Graduate School of Science, The University of Tokyo, Hongo, Tokyo 113-0033.

We present rigorous and universal results for the ground states of the f=2 spinor Bose-Hubbard model. The model includes three two-body on-site interaction terms, two of which are spin dependent while the other one is spin independent. We prove that, depending only on the coefficients of the two spin-dependent terms, the ground state exhibits maximum or minimum total spin or SU(5) ferromagnetism. Read More

Med Hypotheses 2019 Mar 2;124:101-104. Epub 2019 Feb 2.

Selcuk University, Higher School of Vocational and Technical Sciences, Department of Computer Technologies, Konya, Turkey.

Urinary stone disease has an increasing prevalence across the globe, and endoscopic treatment modalities have replaced open surgery. Percutaneous nephrolithotomy (PCNL) is a successful, safe and reliable minimally invasive method in the treatment of renal stones, especially big (≥2 cm) or complex ones. Gaining access is the most critical step of this procedure, which can affect the rest of the operation. Read More

Proc Natl Acad Sci U S A 2019 Feb 19. Epub 2019 Feb 19.

Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, 20133 Milan, Italy

Conventional digital computers can execute advanced operations by a sequence of elementary Boolean functions of 2 or more bits. As a result, complicated tasks such as solving a linear system or solving a differential equation require a large number of computing steps and an extensive use of memory units to store individual bits. To accelerate the execution of such advanced tasks, in-memory computing with resistive memories provides a promising avenue, thanks to analog data storage and physical computation in the memory. Read More

J Cancer Treatment Diagn 2018 ;2(6)

College of Nursing, Augusta University, Augusta, GA.

Background: Patient portals and other Internet-based technologies have been increasingly used to improve cancer care coordination. Patient portals may introduce special considerations in oncology populations where longitudinal outpatient care is often more intensive than in most other specialties.

Methods: This article, which is based upon bibliographic searches in PubMed, reviews the literature on web portal use by cancer patients. Read More

Int J Impot Res 2019 Jan 24. Epub 2019 Jan 24.

Department of Radiology, Chonnam National University Hospital, Chonnam National University Medical School, Gwangju, 61469, Republic of Korea.

Cross-sex hormones in female-to-male (FtM) transsexuals play a crucial role in brain plasticity. Morphological study associated with white matter (WM) volume in postoperative FtM transsexuals receiving cross-sex hormones has not been published yet. This study was performed to discriminate the regional WM volume differences between postoperative FtM transsexuals and female controls using voxel-based morphometry (VBM) and further to assess the correlations between regional volume variations and cross-sex hormones. Read More

Sci Rep 2019 Jan 24;9(1):559. Epub 2019 Jan 24.

School of Science and Technology, University of Camerino, Camerino, 62032, Italy.

The successful use of process calculi to specify behavioural models allows us to compare RNA and protein folding processes from a new perspective. We model the folding processes as behaviours resulting from the interactions that nucleotides and amino acids (the elementary units that compose RNAs and proteins respectively) perform on their linear sequences. This approach is intended to provide new knowledge about the studied systems without strictly relying on empirical data. Read More

PLoS One 2019 22;14(1):e0210804. Epub 2019 Jan 22.

Dipartimento di Scienze Agrarie, Alimentari e Agro-ambientali, Università di Pisa, Pisa, Italy.

The experiments were conducted in a fully-productive olive orchard (cv. Frantoio) at the experimental farm of University of Pisa at Venturina (Italy) in 2015 to assess the ability of an unmanned aerial vehicle (UAV) equipped with RGB-NIR cameras to estimate leaf area index (LAI), tree height, canopy diameter and canopy volume of olive trees that were either irrigated or rainfed. Irrigated trees received water 4-5 days a week (1348 m3 ha-1), whereas the rainfed ones received a single irrigation of 19 m3 ha-1 to relieve the extreme stress. Read More

Bioinformatics 2019 Jan;35(2):266-273

Department of Biotechnology, University of Natural Resources and Life Sciences, Vienna, Austria, EU.

Motivation: Elementary flux mode (EFM) analysis allows an unbiased description of metabolic networks in terms of minimal pathways (involving a minimal set of reactions). To date, the enumeration of EFMs is impracticable in genome-scale metabolic models. In a complementary approach, we introduce the concept of a flux tope (FT), involving a maximal set of reactions (with fixed directions), which allows one to study the coordination of reaction directions in metabolic networks and opens a new way for EFM enumeration. Read More

J Chem Phys 2019 Jan;150(2):024104

Chair of Theoretical Chemistry and Center for Integrated Protein Science Munich (CIPSM), Department of Chemistry, University of Munich (LMU), Butenandtstr. 7, 81377 Munich, Germany.

We present an efficient and low-scaling implementation of a density functional theory based method for the computation of electronic g-tensors. It allows for an accurate description of spin-orbit coupling effects by employing the spin-orbit mean-field operator. Gauge-origin independence is ensured by the use of gauge-including atomic orbitals. Read More

Appl Opt 2018 Dec;57(35):10172-10182

The conventional ray deviation formula and analytical inverse solution for Risley prisms are traditionally derived by the first-order paraxial method, which is simplified and does not provide sufficient accuracy. When a light ray enters the wedge prism, the component that is perpendicular to the base side is deviated by the wedge prism and the component parallel to the base side is uninfluenced. In this study, the problem is presented and analyzed from the scalar form of Snell's law, and 2D vector algebra is used to solve the problem. Read More

Int J STEM Educ 2018 27;5(1):27. Epub 2018 Jun 27.

2Department of Mathematics, Virginia Tech, 434 McBryde Hall, 225 Stanger Street, Blacksburg, VA 24061 USA.

Background: Fractions continue to pose a critical challenge for students and their teachers alike. Mathematics education research indicates that the challenge with fractions may stem from the limitations of part-whole concepts of fractions, which is the central focus of fractions curriculum and instruction in the USA. Students' development of more sophisticated concepts of fractions, beyond the part-whole concept, lays the groundwork for the later study of important mathematical topics, such as algebra, ratios, and proportions, which are foundational understandings for most STEM-related fields. Read More

Int J STEM Educ 2018 13;5(1):12. Epub 2018 Apr 13.

2Institute for Intelligent Systems, University of Memphis, 365 Innovation Dr., Memphis, 38152 TN USA.

Background: This study investigated learning outcomes and user perceptions from interactions with a hybrid intelligent tutoring system created by combining the AutoTutor conversational tutoring system with the Assessment and Learning in Knowledge Spaces (ALEKS) adaptive learning system for mathematics. This hybrid intelligent tutoring system (ITS) uses a service-oriented architecture to combine these two web-based systems. Self-explanation tutoring dialogs were used to talk students through step-by-step worked examples to algebra problems. Read More

Phys Chem Chem Phys 2019 Jan 3;21(3):1443-1453. Epub 2019 Jan 3.

LSMA, Université Tunis El-Manar, Tunis, Tunisia.

Among the closed-shell hydrocarbons, the carbenes c- and l-CH are the lightest ones to display a permanent electric dipole moment and be detectable by rotational spectroscopy. The cyclic form, cyclopropenylidene, is ubiquitous in the InterStellar Matter (ISM) of the Milky Way and external galaxies. As such, it serves as a marker to help in characterizing the physical conditions of the ISM. Read More

PLoS One 2019 2;14(1):e0209171. Epub 2019 Jan 2.

Department of Electrical and Computer Engineering, University of Patras, Patras, Achaia, Greece.

The coordination of the human musculoskeletal system is deeply influenced by its redundant structure, in both kinematic and dynamic terms. Noticing a lack of a relevant, thorough treatment in the literature, we formally address the issue in order to understand and quantify factors affecting the motor coordination. We employed well-established techniques from linear algebra and projection operators to extend the underlying kinematic and dynamic relations by modeling the redundancy effects in null space. Read More

PLoS One 2018 26;13(12):e0209358. Epub 2018 Dec 26.

Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland.

Numerical investigations are an important research tool in quantum information theory. There already exists a wide range of computational tools for quantum information theory implemented in various programming languages. However, there is little effort in implementing this kind of tools in the Julia language. Read More

Math Biosci 2019 Mar 19;309:23-33. Epub 2018 Dec 19.

Fouman Faculty of Engineering, College of Engineering, University of Tehran, P. O. Box 43581-39115, Guilan, Iran. Electronic address:

Laccase production by indigenous fungus, Phanerochaete chrysosporium, requires solving optimal problems to determine the maximum production of the enzyme within a definite time period and conditions specified in the solid-state fermentation process. For this purpose, parallel to response surface methodology, an analytical approach has been proposed based on the advanced concepts of Poisson geometry and Lie groups, which lead to a system of the Hamiltonian equations. Despite the dating of the Hamiltonian approach to solving biological problems, the novelty of this paper is based on the expression of a Hamiltonian system in notions of Poisson geometry, Lie algebras and symmetry groups and first integrals. Read More

IEEE Trans Pattern Anal Mach Intell 2018 Dec 7. Epub 2018 Dec 7.

We introduce a new feature map for barcodes as they arise in persistent homology computation. The main idea is to first realize each barcode as a path in a convenient vector space, and to then compute its path signature which takes values in the tensor algebra of that vector space. The composition of these two operations - barcode to path, path to tensor series - results in a feature map that has several desirable properties for statistical learning, such as universality and characteristicness, and achieves state-of-the-art results on common classification benchmarks. Read More

Breast Cancer Res Treat 2019 Feb 1;174(1):47-53. Epub 2018 Dec 1.

Department of Interdisciplinary Health Studies, College of Allied Health Sciences, Augusta University, Augusta, GA, USA.

Purpose: Almost half of breast cancer survivors are aged ≥ 65 years and the proportion is likely to increase due to the aging of the population. The objectives of this article were to review studies of health outcomes among older breast cancer survivors ≥ 65 years to identify gaps in the published literature and offer suggestions for future research.

Methods: The present review is based upon bibliographic searches in PubMed and CINAHL and relevant search terms. Read More

J Chem Phys 2018 Nov;149(20):204104

Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Tromsø-The Arctic University of Norway, Tromsø, Norway.

We present an implementation and application of electron dynamics based on real-time time-dependent density functional theory (RT-TDDFT) and relativistic 2-component X2C and 4-component Dirac-Coulomb (4c) Hamiltonians to the calculation of electron circular dichroism and optical rotatory dispersion spectra. In addition, the resolution-of-identity approximation for the Coulomb term (RI-J) is introduced into RT-TDDFT and formulated entirely in terms of complex quaternion algebra. The proposed methodology was assessed on the dimethylchalcogenirane series, CHX (X = O, S, Se, Te, Po, Lv), and the spectra obtained by non-relativistic and relativistic methods start to disagree for Se and Te, while dramatic differences are observed for Po and Lv. Read More

J Healthc Eng 2018 30;2018:7961427. Epub 2018 Oct 30.

Siemens India, Bengaluru 560100, India.

Recognition of pain in patients who are incapable of expressing themselves allows for several possibilities of improved diagnosis and treatment. Despite the advancements that have already been made in this field, research is still lacking with respect to the detection of pain in live videos, especially under unfavourable conditions. To address this gap in existing research, the current study proposed a hybrid model that allowed for efficient pain recognition. Read More

Integr Psychol Behav Sci 2018 Nov 27. Epub 2018 Nov 27.

School of Psychology, National Research University Higher School of Economics, Myasnitskaya St. 20, Moscow, 101000, Russia.

In the commentary to Jens Mammen's book A New Logical Foundation for Psychology (2017), three issues are discussed. The first one concerns possible interrelations of: (a) others' irreplaceability and existential irretrievability rigorously proved by Mammen; and (b) morality and attitudes to the others. Lem's criticism of Heidegger's existential philosophy, which paradoxically ignores mass homicide, is discussed in the context of topology of being. Read More

Ultrason Sonochem 2019 Apr 13;52:131-141. Epub 2018 Nov 13.

Department of Mechanical Engineering, Sahand University of Technology, Tabriz, Iran.

Ultrasound contrast agents have been recently utilized in therapeutical implementations for targeted delivery of pharmaceutical substances. Radial pulsations of a cluster of encapsulated microbubbles under the action of an ultrasound field are complex and highly nonlinear, particularly for drug and gene delivery applications with high acoustic pressure amplitudes. In this paper, based on Qin-Ferrara's model (Qin and Ferrara, 2010), the complete synchronization and cluster formation in targeted microbubbles network are studied. Read More

J Chem Phys 2018 Nov;149(19):194106

Department of Chemistry, University of Louisville, Louisville, Kentucky 40205, USA.

Broken symmetry solutions-solutions to the independent particle model that do not obey all symmetries required by the Hamiltonian-have attracted significant interest for capturing multireference properties with mean-field scaling. However, identification and optimization of broken-symmetry solutions is difficult owing to the non-linear nature of the self-consistent field (SCF) equations, particularly for solutions belonging to low-symmetry subgroups and where multiple broken symmetry solutions are sought. Linearization of SCF solution space results in the Lie algebra, which this work utilizes as a framework for elucidation of the set of solutions that exist at the desired symmetry. Read More

Spectrochim Acta A Mol Biomol Spectrosc 2019 Mar 9;210:52-58. Epub 2018 Nov 9.

Department of Physics, Karimganj College, Karimganj 788710, India. Electronic address:

A detailed study on the vibrational spectra of monohalogenated acetylenes and their deuterated analogues has been reported in this work using the U(4) algebraic model. With detailed spectral analysis, it has been shown in this study that all the stable isotopes of monohalogenated acetylenes and their deuterated analogues can be approximated well using the U(4) algebraic model. Read More

J Math Biol 2019 Mar 13;78(4):1225-1244. Epub 2018 Nov 13.

Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain.

Recently, continuous-time dynamical systems of mosquito populations have been studied. In this paper, we consider a discrete-time dynamical system, generated by an evolution quadratic operator of a mosquito population, and show that this system has two fixed points, which become saddle points under some conditions on the parameters of the system. We construct an evolution algebra, taking its matrix of structural constants equal to the Jacobian of the quadratic operator at a fixed point. Read More

J Math Biol 2019 Mar 10;78(4):1115-1145. Epub 2018 Nov 10.

Dto. de Matemática, FCEN, Universidad de Buenos Aires, and IMAS (UBA-CONICET), Ciudad Universitaria, Pab. I, C1428EGA, Buenos Aires, Argentina.

We consider cascades of enzymatic Goldbeter-Koshland loops (Goldbeter and Koshland in Proc Natl Acad Sci 78(11):6840-6844, 1981) with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of variables and the number of conservation laws grow linearly with n, we find explicit regions in reaction rate constant and total conservation constant space for which the associated mass-action kinetics dynamical system is multistationary. Our computations are based on the theoretical results of our companion paper (Bihan, Dickenstein and Giaroli 2018, preprint: arXiv:1807. Read More

Phys Rev Lett 2018 Oct;121(17):177203

Department of Physics and Astronomy, Ghent University, Krijgslaan 281, S9, B-9000 Ghent, Belgium.

We extend the concept of strange correlators, defined for symmetry-protected phases in You et al. [Phys. Rev. Read More